Auntie Hazel baked 64 less vanilla sandwiches than chocolate chip sandwiches. After she gave 0.8 of the vanilla sandwiches to Roshel and
58 of the chocolate chip sandwiches, she was left with 66 more chocolate chip sandwiches than vanilla sandwiches. How many sandwiches did she bake?
| |
Vanilla sandwiches |
Chocolate Chip sandwiches |
Comparing vanilla sandwiches
and chocolate chip sandwiches
at first |
|
64 more |
Before
|
5x8 =
40 |
8x5 =
40 u |
+ 64 |
Change
|
- 4x8 =
- 32 u |
- 5x5 =
- 25 u |
- 40 |
After
|
1x8 =
8 u |
3x5 =
15 u |
+ 24 |
Comparing vanilla sandwiches
and chocolate chip sandwiches
in the end |
|
66 more
|
0.8 =
810 =
4558 x 64 = 40
64 - 40 = 24
If Auntie Hazel baked another 66 vanilla sandwiches, there would be equal number of chocolate chip sandwiches and vanilla sandwiches in the end.
15 u + 24 = 8 u + 66
15 u - 8 u = 66 - 24
7 u = 42
1 u = 42 ÷ 7 = 6
Total sandwiches that Auntie Hazel baked
= 40 u + 64 + 40 u
= 80 u + 64
= 80 x 6 + 64
= 480 + 64
= 544
Answer(s): 544
